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Popular >

simplify (a/3+b/2)^4

Solution

simplify

(\frac{a}{3} + \frac{b}{2})^{4}

Solution

\frac{( 2 a + 3 b ) ^{4}}{1296}

Solution steps

(\frac{a}{3} + \frac{b}{2})^{4}

Simplify

\frac{a}{3} + \frac{b}{2} : \frac{2 a + 3 b}{6}

= (\frac{2 a + 3 b}{6})^{4}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 a + 3 b ) ^{4}}{6 ^{4}}

6^{4} = 1296

= \frac{( 2 a + 3 b ) ^{4}}{1296}

Popular Examples

simplify (n^2+6n+9)/(3n^2+15n+18)simplify

\frac{n ^{2} + 6 n + 9}{3 n ^{2} + 15 n + 18}

6 x^{2} - 36 = 0

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36 u^{2} - 49

factor 2y^4+6y^2+5y^2+15 factor

2 y^{4} + 6 y^{2} + 5 y^{2} + 15

∣ p - 1 ∣ = 4

Frequently Asked Questions (FAQ)

What is (a/3+b/2)^4 ?
The solution to (a/3+b/2)^4 is ((2a+3b)^4)/(1296)